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Table 6 Comparison between unfiltered signals, moving average and proposed Kalman filtering

From: A model for inference of emotional state based on facial expressions

Emotion Original Moving average Kalman
\(\mu \) \(\Sigma \) \(\mu \) \(\Sigma \) \(\mu \) \(\sigma \)
Happiness 0.175 0.634 0.175 0.237 0.131 0.137
Sadness 0.377 0.532 0.377 0.254 0.139 0.073
Fear 0.211 0.544 0.211 0.206 0.219 0.187
Anger 0.236 0.434 0.236 0.257 0.511 0.423